xenharmonic (microtonal wiki)

Omnitetrachordal MOS scale
17L+5s
22 tones (9+4+9)

superpyth; imperfect (P<0)

P = -1.3513819449
Q = 7.6353645871 (4/3 = 7L+2.5s)

L = 54.55 to 70.59 cents (67.97 cents @ Q)
s = 0.00 to 54.55 cents (8.90 cents @ Q)

9/8 = 3L+s (211.76 to 218.18 cents)
4/3 = 7L+2s (490.91 to 494.12 cents)
generator = 4/3

notable EDOs: 39, 56, 61, 73, 83

all modes:

`sLLL sLLLsLLLL sLLLsLLLL`
`LLLs LLLsLLLLs LLLsLLLLs`		`LLLsLLLsL LLLsLLLsL LLLs`
`LLsL LLsLLLLsL LLsLLLLsL`		`LLsLLLsLL LLsLLLsLL LLsL`
`LsLL LsLLLLsLL LsLLLLsLL`		`LsLLLsLLL LsLLLsLLL LsLL`
`sLLL sLLLLsLLL sLLLLsLLL`		`sLLLsLLLL sLLLsLLLL sLLL`
`LLLs LLLLsLLLs LLLLsLLLs`		`LLLsLLLLs LLLsLLLLs LLLs`
`LLsL LLLsLLLsL LLLsLLLsL`		`LLsLLLLsL LLsLLLLsL LLsL`
`LsLL LLsLLLsLL LLsLLLsLL`		`LsLLLLsLL LsLLLLsLL LsLL`
`sLLL LsLLLsLLL LsLLLsLLL`		`sLLLLsLLL sLLLLsLLL sLLL`
		`LLLLsLLLs LLLLsLLLs LLLs`
	`LLLsLLLsL LLLs LLLsLLLsL`	`LLLsLLLsL LLLsLLLsL LLsL`
	`LLsLLLsLL LLsL LLsLLLsLL`	`LLsLLLsLL LLsLLLsLL LsLL`
	`LsLLLsLLL LsLL LsLLLsLLL`	`LsLLLsLLL LsLLLsLLL sLLL`
	`sLLLsLLLL sLLL sLLLsLLLL`
	`LLLsLLLLs LLLs LLLsLLLLs`
	`LLsLLLLsL LLsL LLsLLLLsL`
	`LsLLLLsLL LsLL LsLLLLsLL`
	`sLLLLsLLL sLLL sLLLLsLLL`
	`LLLLsLLLs LLLs LLLLsLLLs`
`LLLs LLLsLLLsL LLLsLLLsL`	`LLLsLLLsL LLsL LLLsLLLsL`
`LLsL LLsLLLsLL LLsLLLsLL`	`LLsLLLsLL LsLL LLsLLLsLL`
`LsLL LsLLLsLLL LsLLLsLLL`	`LsLLLsLLL sLLL LsLLLsLLL`

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Practice

Theory

OTC 17L 5s

See also